Question

Trig help?
How many radians on the unit circle would the minute hand travel from 0° if it were to move 5π inches?
- more information below

Answer 1

I would delete this part from your answer to Part 1
***Using the information presented earlier, just multiply the 6 degrees by 25 minutes. 6*25 = 150, so the minute hand moves 150 radians from 1:25 to 1:50***

what you have below that line is correct: you get 6*25= 150 degrees and that is 5 pi/6 radians

Answer 2

For Part 2, this is muddled
***2pi(4)(5pi/6)/2pi = 10pi /3 inches****

you want arc= radius * angle(in radians)
so just
4 * 5pi/6 = 10pi/3 inches (about 10.5 inches)

Answer 3

Oh, okay @Phi

Answer 4

For the posted question
**How many radians on the unit circle would the minute hand travel from 0° if it were to move 5π inches? **

use radius * angle = arc length
they tell you radius is 4
they tell you arc length is 5 pi
put those numbers into the formula
what do you get ?

Answer 5

4*a = 5pi
a = 5pi/4

Answer 6

yes, so the angle is 5 pi/4 radians (or 225 degrees) It will be halfway between 37 and 38 minutes past the hour

Answer 7

Awesome... so how do I find the coordinate point associated with that radian measure? I haven't even heard of finding something like that before .~.

Answer 8

exactly what is the question they asked?

Answer 9

Here's the whole thing:

Part 1: How many radians does the minute hand move from 1:25 to 1:50? (Hint: Find the number of degrees per minute first.)
Part 2: How far does the tip of the minute hand travel during that time?
Part 3: How many radians on the unit circle would the minute hand travel from 0° if it were to move 5π inches?
Part 4: What is the coordinate point associated with this radian measure?

Answer 10

I guess we put the origin at the center of the clock